13768859100 has 36 divisors (see below), whose sum is σ = 39837899864. Its totient is φ = 3671695680.

The previous prime is 13768859063. The next prime is 13768859123. The reversal of 13768859100 is 195886731.

13768859100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13768859100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22947799 + ... + 22948398.

Almost surely, 2^13768859100 is an apocalyptic number.

13768859100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13768859100 is an abundant number, since it is smaller than the sum of its proper divisors (26069040764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13768859100 is a wasteful number, since it uses less digits than its factorization.

13768859100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45896214 (or 45896207 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 13768859100 in words is "thirteen billion, seven hundred sixty-eight million, eight hundred fifty-nine thousand, one hundred".